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Simplifying 6 + 16z + -3 = 5z + 59 + -3z Reorder the terms: 6 + -3 + 16z = 5z + 59 + -3z Combine like terms: 6 + -3 = 3 3 + 16z = 5z + 59 + -3z Reorder the terms: 3 + 16z = 59 + 5z + -3z Combine like terms: 5z + -3z = 2z 3 + 16z = 59 + 2z Solving 3 + 16z = 59 + 2z Solving for variable 'z'. Move all terms containing z to the left, all other terms to the right. Add '-2z' to each side of the equation. 3 + 16z + -2z = 59 + 2z + -2z Combine like terms: 16z + -2z = 14z 3 + 14z = 59 + 2z + -2z Combine like terms: 2z + -2z = 0 3 + 14z = 59 + 0 3 + 14z = 59 Add '-3' to each side of the equation. 3 + -3 + 14z = 59 + -3 Combine like terms: 3 + -3 = 0 0 + 14z = 59 + -3 14z = 59 + -3 Combine like terms: 59 + -3 = 56 14z = 56 Divide each side by '14'. z = 4 Simplifying z = 4
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